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Finding the Fourth Proportional to 1,302.48, 1,798.16 and 861.66

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Solution

The fourth proportional to 1,302.48, 1,798.16 and 861.66 is: 1,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.48 : 1,798.16 = 861.66 : x
  2. Step 2: Convert to fraction form
    1,302.48/1,798.16 = 861.66/x
  3. Step 3: Cross multiply
    1,302.48x = 1,798.16 × 861.66
  4. Step 4: Simplify right side
    1,302.48x = 1,549,398.24
  5. Step 5: Solve for x
    x = 1,549,398.24/1,302.48
  6. Step 6: Final answer
    x = 1,189.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.